wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A student was asked to measure three angles of a triangle, and he finds only one acute angle in the triangle. Did he measure correctly?

A
Yes
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
No, the triangle should have at least two acute angles.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
No, the triangle should have at least three acute angles.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of the above
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B No, the triangle should have at least two acute angles.
It's not possible to make a triangle using only one acute angle. If only one angle is acute then other two angles will be obtuse, or right angles. So the sum of three angles will be greater than 180°, which is not possible due to angles sum property of a triangle.
So, any triangle will have at least two acute angles. For example: a right-angled trianle or an obtuse angle triangle.
The correct answer is (b).

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Let's Build Triangles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon